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Finding the Third Proportional to 195,278 and 292,918

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Solution

The third proportional to 195,278 and 292,918 is: 439,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,278 : 292,918 = 292,918 : x
  2. Step 2: Convert to fraction form
    195,278/292,918 = 292,918/x
  3. Step 3: Cross multiply
    195,278x = 292,918 × 292,918
  4. Step 4: Simplify right side
    195,278x = 85,800,954,724
  5. Step 5: Solve for x
    x = 85,800,954,724/195,278
  6. Step 6: Final answer
    x = 439,378.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.